1345251312400 has 60 divisors (see below), whose sum is σ = 3232482384052. Its totient is φ = 538014597120.

The previous prime is 1345251312367. The next prime is 1345251312451. The reversal of 1345251312400 is 42131525431.

It can be written as a sum of positive squares in 6 ways, for example, as 25151422464 + 1320099889936 = 158592^2 + 1148956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2269444 + ... + 2800156.

Almost surely, 2^{1345251312400} is an apocalyptic number.

1345251312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345251312400 is an abundant number, since it is smaller than the sum of its proper divisors (1887231071652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345251312400 is a wasteful number, since it uses less digits than its factorization.

1345251312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537068 (or 537057 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1345251312400 its reverse (42131525431), we get a palindrome (1387382837831).

The spelling of 1345251312400 in words is "one trillion, three hundred forty-five billion, two hundred fifty-one million, three hundred twelve thousand, four hundred".